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Simplifying 3(5s + -4) + 13 = 4(s + -2) + -1(-10s + 1) Reorder the terms: 3(-4 + 5s) + 13 = 4(s + -2) + -1(-10s + 1) (-4 * 3 + 5s * 3) + 13 = 4(s + -2) + -1(-10s + 1) (-12 + 15s) + 13 = 4(s + -2) + -1(-10s + 1) Reorder the terms: -12 + 13 + 15s = 4(s + -2) + -1(-10s + 1) Combine like terms: -12 + 13 = 1 1 + 15s = 4(s + -2) + -1(-10s + 1) Reorder the terms: 1 + 15s = 4(-2 + s) + -1(-10s + 1) 1 + 15s = (-2 * 4 + s * 4) + -1(-10s + 1) 1 + 15s = (-8 + 4s) + -1(-10s + 1) Reorder the terms: 1 + 15s = -8 + 4s + -1(1 + -10s) 1 + 15s = -8 + 4s + (1 * -1 + -10s * -1) 1 + 15s = -8 + 4s + (-1 + 10s) Reorder the terms: 1 + 15s = -8 + -1 + 4s + 10s Combine like terms: -8 + -1 = -9 1 + 15s = -9 + 4s + 10s Combine like terms: 4s + 10s = 14s 1 + 15s = -9 + 14s Solving 1 + 15s = -9 + 14s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-14s' to each side of the equation. 1 + 15s + -14s = -9 + 14s + -14s Combine like terms: 15s + -14s = 1s 1 + 1s = -9 + 14s + -14s Combine like terms: 14s + -14s = 0 1 + 1s = -9 + 0 1 + 1s = -9 Add '-1' to each side of the equation. 1 + -1 + 1s = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 1s = -9 + -1 1s = -9 + -1 Combine like terms: -9 + -1 = -10 1s = -10 Divide each side by '1'. s = -10 Simplifying s = -10
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